Special Issue "Advances in Mechanical Metamaterials"

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Materials Physics".

Deadline for manuscript submissions: 31 July 2020.

Special Issue Editors

Prof. Muamer Kadic
Website
Guest Editor
Institut FEMTO-ST, CNRS, UBFC, France
Karlsruhe Institute of Technology (KIT), Germany
Interests: metamaterials; plasmonics; electromagnetism; mechanical metamaterials
Dr. Tobias Frenzel

Guest Editor
Karlsruhe Institute of Technology (KIT), Germany
Interests: mechanical metamaterials; buckling and instabilities; shock absorbers; Micropolar and Cosserat elasticity

Special Issue Information

Dear Colleagues,

Metamaterials are rationally designed composites made of building blocks, often arranged in repetitive patterns. Their properties go beyond those of the ingredient materials qualitatively or quantitatively, since their properties are derived from the designed structure rather than from the constitutive materials. Thereby, they often exhibit properties that are not found in nature.

This Special Issue focuses on new mechanical metamaterials both theoretically and experimentally, in the linear (auxetics, dialtional, dynamic mass density) and nonlinear cases (buckling). Novel design procedures (origami, lattice materials, topology optimisation) and computational methods based on homogenization and generalized continua (Cosserat, micropolar, second gradient). Examples include: negative refractive indices, non-reciprocal behavior, negative mass densities, negative bulk moduli, chiral and achiral behavior, micropolar, multistable, and programmable mechanical metamaterials.

Prof. Muamer Kadic
Dr. Tobias Frenzel
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Materials is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Mechanical metamaterials (auxetics, pentamode, dillational, negative index)
  • Buckling and instabilities
  • Cauchy, Willis, Micropolar and Cosserat elasticity
  • Topological mechanics
  • Homogeneization
  • Origami

Published Papers (6 papers)

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Research

Open AccessArticle
Hybridized Love Waves in a Guiding Layer Supporting an Array of Plates with Decorative Endings
Materials 2020, 13(7), 1632; https://doi.org/10.3390/ma13071632 - 01 Apr 2020
Abstract
This study follows from Maurel et al., Phys. Rev. B 98, 134311 (2018), where we reported on direct numerical observations of out-of-plane shear surface waves propagating along an array of plates atop a guiding layer, as a model for a forest of trees. [...] Read more.
This study follows from Maurel et al., Phys. Rev. B 98, 134311 (2018), where we reported on direct numerical observations of out-of-plane shear surface waves propagating along an array of plates atop a guiding layer, as a model for a forest of trees. We derived closed form dispersion relations using the homogenization procedure and investigated the effect of heterogeneities at the top of the plates (the foliage of trees). Here, we extend the study to the derivation of a homogenized model accounting for heterogeneities at both endings of the plates. The derivation is presented in the time domain, which allows for an energetic analysis of the effective problem. The effect of these heterogeneous endings on the properties of the surface waves is inspected for hard heterogeneities. It is shown that top heterogeneities affect the resonances of the plates, hence modifying the cut-off frequencies of a wave mathematically similar to the so-called Spoof Plasmon Polariton (SPP) wave, while the bottom heterogeneities affect the behavior of the layer, hence modifying the dispersion relation of the Love waves. The complete system simply mixes these two ingredients, resulting in hybrid surface waves accurately described by our model. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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Open AccessArticle
Planar Mechanical Metamaterials with Embedded Permanent Magnets
Materials 2020, 13(6), 1313; https://doi.org/10.3390/ma13061313 - 13 Mar 2020
Abstract
The design space of mechanical metamaterials can be drastically enriched by the employment of non-mechanical interactions between unit cells. Here, the mechanical behavior of planar metamaterials consisting of rotating squares is controlled through the periodic embedment of modified elementary cells with attractive and [...] Read more.
The design space of mechanical metamaterials can be drastically enriched by the employment of non-mechanical interactions between unit cells. Here, the mechanical behavior of planar metamaterials consisting of rotating squares is controlled through the periodic embedment of modified elementary cells with attractive and repulsive configurations of the magnets. The proposed design of mechanical metamaterials produced by three-dimensional printing enables the efficient and quick reprogramming of their mechanical properties through the insertion of the magnets into various locations within the metamaterial. Experimental and numerical studies reveal that under equibiaxial compression various mechanical characteristics, such as buckling strain and post-buckling stiffness, can be finely tuned through the rational placement of the magnets. Moreover, this strategy is shown to be efficient in introducing bistability into the metamaterial with an initially single equilibrium state. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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Open AccessFeature PaperArticle
Cloaking In-Plane Elastic Waves with Swiss Rolls
Materials 2020, 13(2), 449; https://doi.org/10.3390/ma13020449 - 17 Jan 2020
Cited by 1
Abstract
We propose a design of cylindrical cloak for coupled in-plane shear waves consisting of concentric layers of sub-wavelength resonant stress-free inclusions shaped as Swiss rolls. The scaling factor between inclusions’ sizes is according to Pendry’s transform. Unlike the hitherto known situations, the present [...] Read more.
We propose a design of cylindrical cloak for coupled in-plane shear waves consisting of concentric layers of sub-wavelength resonant stress-free inclusions shaped as Swiss rolls. The scaling factor between inclusions’ sizes is according to Pendry’s transform. Unlike the hitherto known situations, the present geometric transform starts from a Willis medium and further assumes that displacement fields u in original medium and u in transformed medium remain unaffected ( u = u ). This breaks the minor symmetries of the rank-4 and rank-3 tensors in the Willis equation that describe the transformed effective medium. We achieve some cloaking for a shear polarized source at specific, resonant sub-wavelength, frequencies, when it is located in close proximity to a clamped obstacle surrounded by the structured cloak. The structured medium approximating the effective medium allows for strong Willis coupling, notwithstanding potential chiral elastic effects, and thus mitigates roles of Willis and Cosserat media in the achieved elastodynamic cloaking. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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Open AccessArticle
A Novel Mechanical Metamaterial Exhibiting Auxetic Behavior and Negative Compressibility
Materials 2020, 13(1), 79; https://doi.org/10.3390/ma13010079 - 22 Dec 2019
Abstract
Auxetics (negative Poisson’s ratio) and materials with negative linear compressibility (NLC) exhibit the anomalous mechanical properties of getting wider rather than thinner when stretched and expanding in at least one direction under hydrostatic pressure, respectively. A novel mechanism—termed the ‘triangular elongation mechanism’—leading to [...] Read more.
Auxetics (negative Poisson’s ratio) and materials with negative linear compressibility (NLC) exhibit the anomalous mechanical properties of getting wider rather than thinner when stretched and expanding in at least one direction under hydrostatic pressure, respectively. A novel mechanism—termed the ‘triangular elongation mechanism’—leading to such anomalous behavior is presented and discussed through an analytical model. Amongst other things, it is shown that this novel mechanism, when combined with the well-known ‘rotating squares’ model, can generate giant negative Poisson’s ratios when the system is stretched. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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Open AccessArticle
The Rise of (Chiral) 3D Mechanical Metamaterials
Materials 2019, 12(21), 3527; https://doi.org/10.3390/ma12213527 - 28 Oct 2019
Cited by 1
Abstract
On the occasion of this special issue, we start by briefly outlining some of the history and future perspectives of the field of 3D metamaterials in general and 3D mechanical metamaterials in particular. Next, in the spirit of a specific example, we present [...] Read more.
On the occasion of this special issue, we start by briefly outlining some of the history and future perspectives of the field of 3D metamaterials in general and 3D mechanical metamaterials in particular. Next, in the spirit of a specific example, we present our original numerical as well as experimental results on the phenomenon of acoustical activity, the mechanical counterpart of optical activity. We consider a three-dimensional chiral cubic mechanical metamaterial architecture that is different from the one that we have investigated in recent early experiments. We find even larger linear-polarization rotation angles per metamaterial crystal lattice constant than previously and a slower decrease of the effects towards the bulk limit. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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Open AccessArticle
Stiffer, Stronger and Centrosymmetrical Class of Pentamodal Mechanical Metamaterials
Materials 2019, 12(21), 3470; https://doi.org/10.3390/ma12213470 - 23 Oct 2019
Cited by 1
Abstract
Pentamode metamaterials have been used as a crucial element to achieve elastical unfeelability cloaking devices. They are seen as potentially fragile and not simple for integration in anisotropic structures due to a non-centrosymmetric crystalline structure. Here, we introduce a new class of pentamode [...] Read more.
Pentamode metamaterials have been used as a crucial element to achieve elastical unfeelability cloaking devices. They are seen as potentially fragile and not simple for integration in anisotropic structures due to a non-centrosymmetric crystalline structure. Here, we introduce a new class of pentamode metamaterial with centrosymmetry, which shows better performances regarding stiffness, toughness, stability and size dependence. The phonon band structure is calculated based on the finite element method, and the pentamodal properties are evaluated by analyzing the single band gap and the ratio of bulk and shear modulus. The Poisson’s ratio becomes isotropic and close to 0.5 in the limit of small double-cone connections. Stability and scalability analysis results show that the critical load factor of this structure is obviously higher than the classical pentamode structure under the same static elastic properties, and the Young’s modulus gradually converges to a stable value (the infinite case) with an increasing number of unit cells. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Author: Muamer Kadic
Affiliation:
Karlsruhe Institute of Technology (KIT), Germany

Author: Martin Wegener
Affiliation:KIT, Institute of Nanotechnology, Eggenstein-Leopoldshafen, Germany

Author:Krzysztof Wojciechowski
Affiliation:Institute of Molecular Physics of the Polish Academy of Sciences, Poznan, Poland 

Author:Joseph Grima
Affiliation:Faculty of Science, University of Malta, Malta

Author:Agnès Maurel, Kim Pham et Jean-Jacques Marigo and Sebastien Guenneau
Affiliation: Institut Fresnel, France

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